Embeddings of weighted Sobolev spaces and a weighted fourth-order elliptic equation
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Publication:5117132
DOI10.1142/S0219199719500573zbMath1453.35077arXiv1803.11298OpenAlexW2963602541WikidataQ127447116 ScholiaQ127447116MaRDI QIDQ5117132
Zongming Guo, FangShu Wan, Liping Wang
Publication date: 20 August 2020
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.11298
Boundary value problems for higher-order elliptic equations (35J40) A priori estimates in context of PDEs (35B45)
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Existence and regularity of positive solutions of a degenerate fourth order elliptic problem ⋮ On some weighted fourth-order equations ⋮ Classification and non-degeneracy of positive radial solutions for a weighted fourth-order equation and its application ⋮ Uniqueness and asymptotic behavior of solutions of a biharmonic equation with supercritical exponent ⋮ Liouville type results for semilinear biharmonic problems in exterior domains ⋮ Weighted fourth order elliptic problems in the unit ball ⋮ Classification of positive radial solutions to a weighted biharmonic equation ⋮ Some weighted fourth-order Hardy-Hénon equations ⋮ New types of Caffarelli-Kohn-Nirenberg inequalities and applications
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